1. The lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation of 15 days. If 50 women are randomly selected, find the probability that they have a mean pregnancy between 266 days and 269 days. 2. A car-wash operator counts the number of cars arriving at the premises and finds that, on average, there are 8 per hour. Find the probability that there are at least two cars in the car- wash in any 30-minues period.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter20: Queuing Theory
Section20.2: Modeling Arrival And Service Processes
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1. The lengths of pregnancies are normally distributed with a mean of 267 days and a standard
deviation of 15 days. If 50 women are randomly selected, find the probability that they have
a mean pregnancy between 266 days and 269 days.
2. A car-wash operator counts the number of cars arriving at the premises and finds that, on
average, there are 8 per hour. Find the probability that there are at least two cars in the car-
wash in any 30-minues period.
Transcribed Image Text:1. The lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation of 15 days. If 50 women are randomly selected, find the probability that they have a mean pregnancy between 266 days and 269 days. 2. A car-wash operator counts the number of cars arriving at the premises and finds that, on average, there are 8 per hour. Find the probability that there are at least two cars in the car- wash in any 30-minues period.
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